6
Q:

Simplify the following equation

[K-L2-K+L2]4K = a/b

A) K = b /a B) bL = -a
C) KL = 1 D) aK = -b

Answer:   B) bL = -a



Explanation:

[(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab

 

=> - 4KL/4K = a/b

 

=> L = - a/b

 

=> bL = -a

Subject: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

If a - b = 5 and a2 + b2 = 97, ab = ?

A) 48 B) 32
C) 36 D) 72
 
Answer & Explanation Answer: C) 36

Explanation:
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0 369
Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

A) -1/2   B) (√6-1)/√3  
C) (√2-2)/2√2   D) √3-2
 
Answer & Explanation Answer: C) (√2-2)/2√2  

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0 7707
Q:

Determine the value of m for which 4x + x6 + m24 is a perfect square.

 

A) 1/24 B) 1/12
C) 12 D) 24
 
Answer & Explanation Answer: B) 1/12

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0 4060
Q:

How many solutions does a pair of linear equations will have, if the equations are 4x+5y-6=0 and 16x+20y+20=0?

 

A) 0 B) 1
C) 2 D) Infinite
 
Answer & Explanation Answer: A) 0

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0 278
Q:

Calculate the value of x, if 1 - (x529) = (1623)

 

A) 283 B) 276
C) 273 D) 374
 
Answer & Explanation Answer: C) 273

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2 6913
Q:

Solve the following

 

23 - [23 - {23 - (23 - 23 + 23)}]

 

A) -1 B) 23
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

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0 3549
Q:

0.196 + 1.96 + 19.6 + 196 = ?

A) 217.756 B) 216.856
C) 216.756 D) 217.676
 
Answer & Explanation Answer: A) 217.756

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0 341
Q:

Sinθ Cos(90 - θ) + Cosθ Sin(90 - θ) = 

 

A) 1 B) 2
C) -1 D) 0
 
Answer & Explanation Answer: A) 1

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0 3389